As different from \(p_{\vartheta }\) , we assume \(\mathbf {p}\)  continuously varying within
the range \(0\le \mathbf {p}\le 2\pi /a\)  which corresponds to the model of infinitely long
CNT \((L =\infty )\) . The model is applicable to the case under consideration because we
are restricted to temperatures and/or voltages well above the level spacing [1]},
i.e. \(k_{B} T>\varepsilon _{c}\) , \(\Delta \varepsilon \) , where \(k_{B}\)  is Boltzmann constant,
\(T\)  is the thermodyanamic temperature, \(\varepsilon _{c}\)  is the charging energy. In the
presence of hot electrons source, the motion of quasi-particles in an external axial
electric field is described by the Boltzmann kinetic equation as [2]}- [1]}
\(\frac{\partial f(p)}{\partial t} + v\frac{\partial f(p)}{\partial x}+eE(t)\frac{\partial f(p)}{\partial p} = -\frac{f(p)-f_{eq}(p)}{\tau } + S(p)\) 
